59 citations · 371 across the 37 of their papers we have counts for
4 papers · 1 filter
Low degree Hurwitz stacks in the Grothendieck ring
Aaron Landesman, Ravi Vakil, Melanie Matchett Wood
For , we show that the class of the Hurwitz space of smooth degree , genus covers of stabilizes in the Grothendieck ring of stacks as $g \to \…
Semiample Bertini theorems over finite fields
Daniel Erman, Melanie Matchett Wood
We prove a semiample generalization of Poonen's Bertini Theorem over a finite field that implies the existence of smooth sections for wide new classes of divisors. The probability…
Discriminants in the Grothendieck Ring
Ravi Vakil, Melanie Matchett Wood
We consider the "limiting behavior" of *discriminants*, by which we mean informally the locus in some parameter space of some type of object where the objects have certain singular…
Gauss Composition for P^1, and the universal Jacobian of the Hurwitz space of double covers
Daniel Erman, Melanie Matchett Wood
We investigate the universal Jacobian of degree n line bundles over the Hurwitz stack of double covers of P^1 by a curve of genus g. Our main results are: the construction of a smo…